THE ALGEBRAIC CLASSIFICATION OF NILPOTENT COMMUTATIVE ALGEBRAS

被引：1
|
作者：
Jumaniyozov, Doston [1 ,2 ]
Kaygorodov, Ivan [3 ,4 ,5 ]
Khudoyberdiyev, Abror [1 ,2 ]
机构：
[1] Natl Univ Uzbekistan, Tashkent, Uzbekistan
[2] Acad Sci Uzbek, Inst Math, Tashkent, Uzbekistan
[3] Univ Fed ABC, CMCC, Santo Andre, SP, Brazil
[4] Moscow Ctr Fundamental & Appl Math, Moscow, Russia
[5] St Petersburg Univ, St Petersburg, Russia
来源：
ELECTRONIC RESEARCH ARCHIVE | 2021年 / 29卷 / 06期
基金：
俄罗斯科学基金会;
关键词：
Commutative algebras; Jordan algebras; nilpotent algebras; algebraic classification; central extension; LIE-ALGEBRAS; FIELDS;
D O I：
10.3934/era.2021068
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to the complete algebraic classification of complex 5-dimensional nilpotent commutative algebras. Our method of classification is based on the standard method of classification of central extensions of smaller nilpotent commutative algebras and the recently obtained classification of complex 5-dimensional nilpotent commutative CD-algebras.
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页码：3909 / 3993
页数：85
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